The prevalence of asthma in a population of adolescents residing in a community outside of a chemical plant is 24%. Suppose researchers are interested in assessing the severity of asthma in a sample, and collect information on 15 participants and find that 6 adolescents have a history of asthma.

A) Can researchers continue their investigation assuming an approximation to the normal distribution is possible?

B) Calculate the probability of observing the results seen in the sample conducted by the researchers.

C) Determine the mean and standard deviation for the distribution under the assumptions made in part A.